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| 1 | + |
| 2 | +# coding: utf-8 |
| 3 | + |
| 4 | +# In[1]: |
| 5 | + |
| 6 | + |
| 7 | +#hanoi tower is the classic recursion |
| 8 | +#the logic behind it is amazing |
| 9 | +#rules can be seen from this website: |
| 10 | +# https://en.wikipedia.org/wiki/Tower_of_Hanoi |
| 11 | + |
| 12 | + |
| 13 | +# In[2]: |
| 14 | + |
| 15 | + |
| 16 | +function hanoi(n,column1,column2,column3) |
| 17 | + |
| 18 | + #rule states that each time we can only move one element |
| 19 | + #so when the recursion reaches to base case 1 |
| 20 | + #we print the movement of elements from column 1 to column 3 |
| 21 | + if n==1 |
| 22 | + println(column1," -> ",column3) |
| 23 | + return |
| 24 | + end |
| 25 | + |
| 26 | + #for the general case |
| 27 | + #the first step is to move everything above the base case from column 1 to column 2 |
| 28 | + #note that we set print 1 to 3 when n reaches one |
| 29 | + #so in this case we reorder the function, replace column 3 with column 2 |
| 30 | + #where elements actually move towards |
| 31 | + #the reorder is purely for printing |
| 32 | + hanoi(n-1,column1,column3,column2) |
| 33 | + |
| 34 | + #the second step is to move the base case from column 1 to column 3 |
| 35 | + #we are only moving base case, thats why n=1 |
| 36 | + hanoi(1,column1,column2,column3) |
| 37 | + |
| 38 | + #final step would be move everything above base case from column 2 to column 3 |
| 39 | + hanoi(n-1,column2,column1,column3) |
| 40 | + |
| 41 | +end |
| 42 | + |
| 43 | + |
| 44 | +# In[3]: |
| 45 | + |
| 46 | + |
| 47 | +#the best explanation should be |
| 48 | +# https://www.python-course.eu/towers_of_hanoi.php |
| 49 | + |
| 50 | + |
| 51 | +# In[4]: |
| 52 | + |
| 53 | + |
| 54 | +hanoi(4,"Column A","Column B","Column C") |
| 55 | + |
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